{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from numba import jit\n",
    "\n",
    "@jit(nopython=True)\n",
    "def deltaE(array, x, y):\n",
    "    deltaE = -2 * array[x, y] * (\n",
    "        array[(x - 2) % (2*L), y] * array[(x - 1) % (2*L), (y - 1) % L] +\n",
    "        array[(x + 2) % (2*L), y] * array[(x + 1) % (2*L), (y - 1) % L] +\n",
    "        array[(x - 1) % (2*L), (y + 1) % L] * array[(x + 1) % (2*L), (y + 1) % L]\n",
    "    )\n",
    "    return deltaE\n",
    "\n",
    "@jit(nopython=True)\n",
    "def w(deltaE, T):\n",
    "    if deltaE <= 0:\n",
    "        return 1.0\n",
    "    else:\n",
    "        return np.exp(-deltaE / T)\n",
    "\n",
    "@jit(nopython=True)\n",
    "def E_array(array):\n",
    "    E = 0\n",
    "    for i in range(2*L):\n",
    "        for j in range(L):\n",
    "            E += array[i, j] * array[(i - 2) % (2*L), j] * array[(i - 1) % (2*L), (j - 1) % L]\n",
    "    return E / (L * L)\n",
    "\n",
    "@jit(nopython=True)\n",
    "def Metropolis(array, T):\n",
    "    x = np.random.randint(0, 2*L)\n",
    "    y = np.random.randint(0, L)\n",
    "    while array[x, y] == 0:\n",
    "        x = np.random.randint(0, 2*L)\n",
    "        y = np.random.randint(0, L)\n",
    "    delE = deltaE(array, x , y)\n",
    "    if np.random.rand() < w(delE, T):\n",
    "        array[x, y] = -array[x, y]\n",
    "    return\n",
    "\n",
    "def sampling(array, T):\n",
    "    E_temp = np.zeros(N2)\n",
    "    M_temp = np.zeros(N2)\n",
    "    for i in range(N2):\n",
    "        for j in range(10 * L * L):\n",
    "            Metropolis(array, T)\n",
    "        E_temp[i] = E_array(array)\n",
    "        M_temp[i] = 2*np.abs(np.mean(array))\n",
    "    Ising_T.append(array.copy())\n",
    "    E_mean = np.mean(E_temp)\n",
    "    M_mean = np.mean(M_temp)\n",
    "    E.append([T, E_mean])\n",
    "    M.append([T, M_mean])\n",
    "    Cv.append([T, (np.mean(E_temp ** 2) - E_mean ** 2) / (T * T)])\n",
    "    X.append([T, (np.mean(M_temp ** 2) - M_mean ** 2) / T])\n",
    "\n",
    "def main():\n",
    "    for T in np.arange(Tmin, Tmax, deltaT):\n",
    "        array = np.ones((2*L, L), dtype=np.int8)\n",
    "        #array = np.random.choice([-1, 1], size=(L, L))\n",
    "        array[1::2, 1::2] = 0\n",
    "        array[::2, ::2] = 0\n",
    "        for i in range(N1):\n",
    "            Metropolis(array, T)\n",
    "        sampling(array, T)\n",
    "    return\n",
    "\n",
    "L = 40\n",
    "N1 = 500 * L * L\n",
    "N2 = 100\n",
    "Tmin = 0.1\n",
    "Tmax = 5.0\n",
    "deltaT = 0.1\n",
    "\n",
    "E = []\n",
    "Ising_T = []\n",
    "M = []\n",
    "Cv = []\n",
    "X = []\n",
    "\n",
    "if __name__ == \"__main__\":\n",
    "    main()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "#平均能量\n",
    "plt.plot([e[0] for e in E], [e[1] for e in E])\n",
    "plt.xlabel('Temperature')\n",
    "plt.ylabel('Average Energy')\n",
    "plt.title('Average Energy vs Temperature')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#热容 \n",
    "plt.plot([c[0] for c in Cv], [c[1] for c in Cv])\n",
    "plt.xlabel('Temperature')\n",
    "plt.ylabel('Specific Heat')\n",
    "plt.title('Specific Heat vs Temperature')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#平均磁矩\n",
    "plt.plot([m[0] for m in M], [m[1] for m in M])\n",
    "plt.xlabel('Temperature')\n",
    "plt.ylabel('Average Magnetization')\n",
    "plt.title('Average Magnetization vs Temperature')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#磁化率\n",
    "plt.plot([x[0] for x in X], [x[1] for x in X])\n",
    "plt.xlabel('Temperature')\n",
    "plt.ylabel('Magnetic Susceptibility')\n",
    "plt.title('Magnetic Susceptibility vs Temperature')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import numpy as np\n",
    "# import matplotlib.pyplot as plt\n",
    "# import matplotlib.colors as mcolors\n",
    "\n",
    "\n",
    "# for k in range(len(Ising_T)):\n",
    "#     array = Ising_T[k]\n",
    "#     x = []\n",
    "#     y = []\n",
    "#     colors = []\n",
    "\n",
    "#     # Define offsets for the 6 neighbors in a triangular lattice without horizontal offset\n",
    "#     neighbors_offsets = [\n",
    "#         (-1, -1), (-1, 1), (-2 , 0), \n",
    "#         (2 , 0), (1, -1), (1, 1)\n",
    "#     ]\n",
    "#     # Create a custom color map\n",
    "#     cmap = mcolors.LinearSegmentedColormap.from_list('custom_cmap', ['blue', 'white', 'red'])\n",
    "\n",
    "#     # Normalize the color map based on fixed range [-1, 1]\n",
    "#     norm = mcolors.Normalize(vmin=-1, vmax=1)\n",
    "#     # Collect the points and their colors\n",
    "#     for i in range(2*L):\n",
    "#         for j in range(L):\n",
    "#             if array[i, j] != 0:\n",
    "#                 x.append(i)\n",
    "#                 y.append(j * np.sqrt(3))\n",
    "#                 colors.append(array[i, j])\n",
    "\n",
    "#     plt.figure(figsize=(8, 8))\n",
    "\n",
    "#     # Draw lines between each point and its neighbors\n",
    "#     for i in range(2*L):\n",
    "#         for j in range(L):\n",
    "#             if array[i, j] != 0:\n",
    "#                 x_coord = i\n",
    "#                 y_coord = j * np.sqrt(3) \n",
    "#                 for offset in neighbors_offsets:\n",
    "#                     ni = (i + offset[0])\n",
    "#                     nj = (j + offset[1])\n",
    "#                     if not ni < 0 and not nj < 0 and not ni >= 2*L and not nj >= L:\n",
    "#                         nx_coord = ni\n",
    "#                         ny_coord = nj * np.sqrt(3) \n",
    "#                         if array[i,j]==array[ni,nj]: \n",
    "#                             line_color = cmap(norm(array[i,j]))\n",
    "#                             plt.plot([x_coord, nx_coord], [y_coord, ny_coord], '-', color=line_color, lw=1)\n",
    "\n",
    "#     # Scatter plot for the points\n",
    "#     scatter = plt.scatter(x, y, c=[norm(c) for c in colors], cmap='coolwarm', s=50)\n",
    "#     #plt.colorbar(scatter, label='Spin Value')\n",
    "#     plt.title(f'Temperature = {deltaT*k+Tmin}')\n",
    "#     plt.xlabel('X Position')\n",
    "#     plt.ylabel('Y Position')\n",
    "#     plt.axis('equal')\n",
    "#     plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
